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Simplifying -8(7 + -6b) = 8(3b + 4) + 2b (7 * -8 + -6b * -8) = 8(3b + 4) + 2b (-56 + 48b) = 8(3b + 4) + 2b Reorder the terms: -56 + 48b = 8(4 + 3b) + 2b -56 + 48b = (4 * 8 + 3b * 8) + 2b -56 + 48b = (32 + 24b) + 2b Combine like terms: 24b + 2b = 26b -56 + 48b = 32 + 26b Solving -56 + 48b = 32 + 26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26b' to each side of the equation. -56 + 48b + -26b = 32 + 26b + -26b Combine like terms: 48b + -26b = 22b -56 + 22b = 32 + 26b + -26b Combine like terms: 26b + -26b = 0 -56 + 22b = 32 + 0 -56 + 22b = 32 Add '56' to each side of the equation. -56 + 56 + 22b = 32 + 56 Combine like terms: -56 + 56 = 0 0 + 22b = 32 + 56 22b = 32 + 56 Combine like terms: 32 + 56 = 88 22b = 88 Divide each side by '22'. b = 4 Simplifying b = 4
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